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41679297972 = 223213229388901
BaseRepresentation
bin100110110100010001…
…111001110110110100
310222120200221201020200
4212310101321312310
51140324400013342
631051444000500
73003565121154
oct466421716664
9128520851220
1041679297972
1116748971504
1280b2390130
133c12c60cc0
142035624764
15113e14b94c
hex9b4479db4

41679297972 has 72 divisors (see below), whose sum is σ = 113956064040. Its totient is φ = 12768364800.

The previous prime is 41679297929. The next prime is 41679297977. The reversal of 41679297972 is 27979297614.

It can be written as a sum of positive squares in 4 ways, for example, as 3253105296 + 38426192676 = 57036^2 + 196026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41679297977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87279 + ... + 301622.

Almost surely, 241679297972 is an apocalyptic number.

It is an amenable number.

41679297972 is an abundant number, since it is smaller than the sum of its proper divisors (72276766068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41679297972 is a wasteful number, since it uses less digits than its factorization.

41679297972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389153 (or 389148 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The spelling of 41679297972 in words is "forty-one billion, six hundred seventy-nine million, two hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 26793 35724 53586 107172 388901 777802 1166703 1555604 2333406 3500109 4666812 5055713 7000218 10111426 14000436 15167139 20222852 30334278 45501417 60668556 89058329 91002834 178116658 182005668 267174987 356233316 534349974 801524961 1068699948 1157758277 1603049922 2315516554 3206099844 3473274831 4631033108 6946549662 10419824493 13893099324 20839648986 41679297972